In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations.
The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference.Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Richard L. Epstein received his doctorate in mathematics from the University of California, Berkeley. He is the author of eleven books, including two others in the series The Semantic Foundations of Logic (Propositional Logics and Predicate Logic), Five Ways of Saying "Therefore," Critical Thinking, and, with Walter Carnielli, Computability. He is head of the Advanced Reasoning Forum in Socorro, New Mexico.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. Relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. This book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. Num Pages: 544 pages, 20 line illus. BIC Classification: PBCD. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 254 x 178 x 30. Weight in Grams: 1142. . 2006. Hardcover. . . . . N° de réf. du vendeur V9780691123004
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